What are two solutions of 3 + 4 |x/2 + 3| = 11?

1 answer:

Alex4 years ago

3 0

3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2

Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2

Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
x = -10

Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2

You might be interested in

What is the distance of 1.5 to -2 on a number line and how can you show it

user100 [1]

Answer:

The distance is 3.5

Step-by-step explanation:

5 0

3 years ago

Antonbought a picnic cooler his total bill with tax was $7.95 he paid 6% sales tax how much did he pay for the cooler alone with

guapka [62]

A product increases its value because of the imposition of tax. For example, a medicine that cost $1 can be bought possibly at $1.4 because of the value added tax. To determine the original bill without tax, the equation is $7.95/1.06. This is equal to $7.5.

3 0

3 years ago

If LK is congruenat to MK, LK=7x-10, KN=x+3, MN=9x-11, and KJ=28, find LJ

Juliette [100K]

Answer:

Step-by-step explanation:

Xqual-5

4 0

3 years ago

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 3 8 . There are 18 r

sweet-ann [11.9K]

Answer:

There are 48 marbles in the bag

Step-by-step explanation:

red: blue : total

3 8

there are 18 red

18/3 = 6

Multiply everything by 6

3*6 8*6

18 48

There are 48 marbles in the bag

8 0

3 years ago

300 ml over 15 min is what rate of ml per hour

Mama L [17]

Answer:

1200 ml per hour

Step-by-step explanation:

To compute what rate is 300 ml over 15 mins as a rate of ml per hour, we do a rule of 3, using a variable x as that amount of ml we don't know yet. We should have everything in the same units, so instead of writing 1 hour we write 60 minutes:

$\frac{300~ml}{15~min}=\frac{x~ml}{60~mins}$